Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample1.3s (15.2%)

Memory

36.6MiB live, 1 093.5MiB allocated

Samples

1.1s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-add: 230.0ms (47% of total)

ival-mult: 209.0ms (42.7% of total)

ival-sub: 38.0ms (7.8% of total)

exact: 5.0ms (1% of total)

ival-true: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess266.0ms (3.1%)

Memory

14.3MiB live, 175.9MiB allocated

Algorithm

2×	egg-herbie

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
1 328×	`unsub-neg`
910×	`sub-neg`
658×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	75
1	69	71
2	233	70
3	841	70
4	2612	70
5	4416	70
6	5436	70
7	5690	70
8	5742	70
9	5765	70
10	5768	70
11	5831	70
12	5839	70
13	5839	70
14	5839	70
15	5877	70
16	5877	70
0	7	7
1	13	7
2	31	7
3	73	7
4	215	7
5	505	7
6	827	7
7	1313	7
8	1628	7
9	1685	7
10	1685	7
0	1685	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) (- 1 z))

Outputs
(* (+ x y) (- 1 z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))

Call 2

Inputs
(* (+ x y) (- 1 z))
(* (+ (neg x) y) (- 1 z))
(* (+ x (neg y)) (- 1 z))
(* (+ x y) (- 1 (neg z)))
(neg (* (+ (neg x) y) (- 1 z)))
(neg (* (+ x (neg y)) (- 1 z)))
(neg (* (+ x y) (- 1 (neg z))))
(* (+ y x) (- 1 z))
(* (+ z y) (- 1 x))
(* (+ x z) (- 1 y))

Outputs
(* (+ x y) (- 1 z))
(* (+ (neg x) y) (- 1 z))
(* (- 1 z) (- y x))
(* (+ x (neg y)) (- 1 z))
(* (- 1 z) (- x y))
(* (+ x y) (- 1 (neg z)))
(* (+ x y) (+ 1 z))
(neg (* (+ (neg x) y) (- 1 z)))
(* (- 1 z) (- x y))
(neg (* (+ x (neg y)) (- 1 z)))
(* (- 1 z) (- y x))
(neg (* (+ x y) (- 1 (neg z))))
(* (+ x y) (- -1 z))
(* (+ y x) (- 1 z))
(* (+ x y) (- 1 z))
(* (+ z y) (- 1 x))
(* (+ y z) (- 1 x))
(* (+ x z) (- 1 y))

Symmetry

(sort x y)

explain63.0ms (0.7%)

Memory

-12.2MiB live, 142.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) z)`
-	-	`#s(literal 1 binary64)`
-	-	`(+.f64 x y)`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

32.0ms

512×

valid

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (42.9% of total)

ival-sub: 4.0ms (28.6% of total)

ival-mult: 3.0ms (21.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify70.0ms (0.8%)

Memory

0.9MiB live, 113.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	0	(+.f64 x y)

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
344×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	13	17
2	31	17
3	73	17
4	215	17
5	505	17
6	827	17
7	1313	17
8	1628	17
9	1685	17
10	1685	17
0	1685	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (+ x y) (- 1 z))
(+ x y)
x
y
(- 1 z)
1
z

Outputs
(* (+ x y) (- 1 z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z

localize23.0ms (0.3%)

Memory

3.2MiB live, 45.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (44.5% of total)

ival-sub: 1.0ms (22.3% of total)

ival-add: 1.0ms (22.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (+ x y)>
#<alt (- 1 z)>
#<alt (* (+ x y) (- 1 z))>

Outputs
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* y (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* x (- 1 z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- 1 z))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(* (+ x y) (- 1 z))
0.0ms	x	@	0	(* (+ x y) (- 1 z))
0.0ms	x	@	inf	(+ x y)
0.0ms	z	@	-inf	(* (+ x y) (- 1 z))
0.0ms	x	@	-inf	(* (+ x y) (- 1 z))

rewrite423.0ms (4.9%)

Memory

-3.6MiB live, 1 068.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 758×	`-lowering-.f32`
5 758×	`-lowering-.f64`
3 972×	`/-lowering-/.f32`
3 972×	`/-lowering-/.f64`
2 508×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	304	13
3	4027	13
0	9593	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 835

Calls

Call 1

Inputs
(+ x y)
(- 1 z)
(* (+ x y) (- 1 z))

Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(+.f64 (.f64 x #s(literal 1 binary64)) (.f64 y #s(literal 1 binary64)))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 x #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (.f64 y (-.f64 y x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 (.f64 x x) (*.f64 x x))) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (.f64 (fma.f64 x x (.f64 y y)) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (-.f64 y x))))) (.f64 (fma.f64 x x (.f64 y (+.f64 x y))) (-.f64 x y)))
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(pow.f64 (/.f64 (.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (+.f64 #s(literal 1 binary64) z)) (.f64 (fma.f64 y (.f64 y y) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) z) (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z)))) #s(literal -1 binary64))
(*.f64 (+.f64 x y) (+.f64 #s(literal 1 binary64) z))
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(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 z z)) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) z))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
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(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (-.f64 #s(literal 1 binary64) (.f64 z z))) (+.f64 #s(literal 1 binary64) z))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (.f64 z z))) (fma.f64 z (.f64 z z) #s(literal 1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))

simplify343.0ms (4%)

Memory

46.3MiB live, 647.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 146×	`accelerator-lowering-fma.f32`
12 146×	`accelerator-lowering-fma.f64`
2 722×	`-lowering-.f32`
2 722×	`-lowering-.f64`
2 196×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	326
1	213	326
2	683	326
3	2185	326
4	5144	326
5	7956	326
0	8679	326

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- 1 z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))

Outputs
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) z #s(literal 0 binary64)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) z #s(literal 0 binary64)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))

eval270.0ms (3.1%)

Memory: 23.8MiB live, 316.0MiB allocated
Compiler: Compiled 39 905 to 2 730 computations (93.2% saved)

prune186.0ms (2.2%)

Memory

2.0MiB live, 357.4MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	903	4	907
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	903	5	908

Accuracy

100.0%

Counts

908 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
▶	53.3%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
▶	52.8%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
▶	49.6%	(*.f64 x (-.f64 #s(literal 1 binary64) z))

Compiler

Compiled 45 to 30 computations (33.3% saved)

simplify329.0ms (3.8%)

Memory

-65.6MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	192	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
✓	cost-diff	0	(+.f64 y x)
✓	cost-diff	-64	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)
✓	cost-diff	-64	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) z)

Rules

1 552×	`accelerator-lowering-fma.f32`
1 552×	`accelerator-lowering-fma.f64`
368×	`-lowering-.f32`
368×	`-lowering-.f64`
344×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	33	43
2	110	43
3	258	43
4	463	43
5	938	43
6	1280	43
7	1359	43
8	1365	43
9	1365	43
0	1365	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (- 1 z))
x
(- 1 z)
1
z
(* y (- 1 z))
y
(- 1 z)
1
z
(+ y x)
y
x
(+ (* (- 0 z) (+ x y)) (+ x y))
(- 0 z)
0
z
(+ x y)
x
y

Outputs
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(+ y x)
(+.f64 x y)
y
x
(+ (* (- 0 z) (+ x y)) (+ x y))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ x y)
(+.f64 x y)
x
y

localize50.0ms (0.6%)

Memory

22.9MiB live, 129.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(+.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) z)
✓	accuracy	100.0%	(*.f64 x (-.f64 #s(literal 1 binary64) z))

Samples

33.0ms

256×

valid

Compiler

Compiled 49 to 15 computations (69.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 8.0ms (53.1% of total)

ival-mult: 4.0ms (26.6% of total)

ival-sub: 2.0ms (13.3% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-11.8MiB live, 27.9MiB allocated

Counts

7 → 156

Calls

Call 1

Inputs
#<alt (- 1 z)>
#<alt (* x (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (+ y x)>
#<alt (+ (* (- 0 z) (+ x y)) (+ x y))>
#<alt (- 0 z)>
#<alt (+ x y)>

Outputs
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

39 calls:

Time	Variable		Point	Expression
12.0ms	z	@	0	(+ (* (- 0 z) (+ x y)) (+ x y))
1.0ms	y	@	inf	(+ (* (- 0 z) (+ x y)) (+ x y))
1.0ms	z	@	inf	(* x (- 1 z))
0.0ms	z	@	inf	(+ (* (- 0 z) (+ x y)) (+ x y))
0.0ms	z	@	-inf	(+ (* (- 0 z) (+ x y)) (+ x y))

rewrite477.0ms (5.5%)

Memory

7.1MiB live, 920.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 074×	`/-lowering-/.f32`
5 074×	`/-lowering-/.f64`
4 466×	`-lowering-.f32`
4 466×	`-lowering-.f64`
2 696×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	88	28
2	991	28
0	8089	28

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 972

Calls

Call 1

Inputs
(- 1 z)
(* x (- 1 z))
(* y (- 1 z))
(+ y x)
(+ (* (- 0 z) (+ x y)) (+ x y))
(- 0 z)
(+ x y)

Outputs
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))))
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) z) z)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(neg.f64 z)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 z (fma.f64 z z #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 z (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 z (fma.f64 z z #s(literal 0 binary64))))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 z (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(+.f64 x y)
(+.f64 y x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (neg.f64 (-.f64 y x))))
(pow.f64 (/.f64 (fma.f64 x x (.f64 y (-.f64 y x))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))

simplify516.0ms (6%)

Memory

22.0MiB live, 651.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 812×	`accelerator-lowering-fma.f32`
14 812×	`accelerator-lowering-fma.f64`
2 912×	`-lowering-.f32`
2 912×	`-lowering-.f64`
2 528×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	791
1	328	734
2	875	710
3	2750	710
4	7353	710
0	8231	686

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
(* y (- 1 z))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(+ y (* -1 (* y z)))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* -1 (* y (- z 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
x
(+ x (* -1 (* x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 z x #s(literal 0 binary64)))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 z x #s(literal 0 binary64)))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
y
(+ y (* -1 (* y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(+ y (* -1 (* y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(+ y (* -1 (* y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ y (* -1 (* y z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(* -1 (* x (- z 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) y)
(+ x (* -1 (* x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(* y (+ 1 (* -1 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* -1 (* y (- z 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

eval175.0ms (2%)

Memory: -9.2MiB live, 380.2MiB allocated
Compiler: Compiled 50 775 to 3 160 computations (93.8% saved)

prune322.0ms (3.7%)

Memory

-11.9MiB live, 317.0MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 231	3	1 234
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 232	7	1 239

Accuracy

100.0%

Counts

1 239 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.3%	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
✓	53.3%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.8%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	49.6%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶	31.3%	y
▶	23.5%	x

Compiler

Compiled 51 to 36 computations (29.4% saved)

simplify30.0ms (0.3%)

Memory

27.2MiB live, 64.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)

Rules

608×	`accelerator-lowering-fma.f32`
608×	`accelerator-lowering-fma.f64`
240×	`-lowering-.f32`
240×	`-lowering-.f64`
152×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	20	19
2	61	18
3	151	18
4	241	18
5	407	18
6	547	18
7	675	18
8	689	18
9	691	18
0	691	18

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
y
(+ (* (- 0 z) (+ x y)) x)
(- 0 z)
0
z
(+ x y)
x
y

Outputs
x
y
(+ (* (- 0 z) (+ x y)) x)
(fma.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) y) x)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ x y)
(+.f64 x y)
x
y

localize26.0ms (0.3%)

Memory

-24.5MiB live, 54.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)
✓	accuracy	100.0%	(+.f64 x y)

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (36.4% of total)

ival-mult: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (+ (* (- 0 z) (+ x y)) x)>
#<alt (- 0 z)>
#<alt (+ x y)>

Outputs
#<alt x>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* (- 0 z) (+ x y)) x)
0.0ms	z	@	0	(+ (* (- 0 z) (+ x y)) x)
0.0ms	y	@	inf	(+ (* (- 0 z) (+ x y)) x)
0.0ms	x	@	inf	(+ (* (- 0 z) (+ x y)) x)
0.0ms	x	@	0	(+ (* (- 0 z) (+ x y)) x)

rewrite328.0ms (3.8%)

Memory

-23.5MiB live, 540.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 324×	`accelerator-lowering-fma.f32`
5 324×	`accelerator-lowering-fma.f64`
3 548×	`-lowering-.f32`
3 548×	`-lowering-.f64`
2 700×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	55	13
2	552	12
3	6698	12
0	8121	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs
(+ (* (- 0 z) (+ x y)) x)
(- 0 z)
(+ x y)

Outputs
(+.f64 #s(literal 0 binary64) (-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(+.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) x)
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z x #s(literal 0 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) z) y x))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (/.f64 (.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) x))) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x)))))
(+.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) x) x) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) y x) (-.f64 #s(literal 0 binary64) (fma.f64 z x #s(literal 0 binary64))))
(+.f64 (+.f64 x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(+.f64 (fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)) x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) x))) (/.f64 (.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x))))
(-.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) x) x) (fma.f64 z y #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))) (/.f64 (.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (+.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) x) (fma.f64 (-.f64 #s(literal 0 binary64) z) y x))
(fma.f64 z (-.f64 #s(literal 0 binary64) y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 z (neg.f64 (+.f64 x y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x (fma.f64 (-.f64 #s(literal 0 binary64) z) y x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) z) (.f64 (+.f64 x y) (+.f64 x y))) (neg.f64 (fma.f64 z (+.f64 x y) x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x)))))
(fma.f64 x (-.f64 #s(literal 0 binary64) z) (fma.f64 (-.f64 #s(literal 0 binary64) z) y x))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) (fma.f64 z (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 (+.f64 x y) (/.f64 (.f64 (+.f64 x y) (fma.f64 z z #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) x))) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x)))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 #s(literal 0 binary64) z)) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 z z #s(literal 0 binary64)))) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 z (fma.f64 x (-.f64 x y) (*.f64 y y)))) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x (-.f64 x y) (.f64 y y))) x)
(fma.f64 (.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x y) x))) (neg.f64 (/.f64 (.f64 x x) (neg.f64 (fma.f64 z (+.f64 x y) x)))))
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(/.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 (.f64 y y) (fma.f64 x x (.f64 y y)) (.f64 (.f64 x x) (.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 x x (.f64 y y)) (.f64 (+.f64 x y) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (fma.f64 x x (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64))
(.f64 (+.f64 x y) (.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(*.f64 (+.f64 x y) (/.f64 (-.f64 x y) (-.f64 x y)))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y)))))
(.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (/.f64 (+.f64 x y) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (.f64 (+.f64 x y) (-.f64 x y)))
(.f64 (.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x))))))) (fma.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (-.f64 x y) (.f64 y y)) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))
(.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (.f64 (fma.f64 y (+.f64 x y) (.f64 x x)) (-.f64 x y))) (fma.f64 y (+.f64 x y) (*.f64 x x)))

simplify233.0ms (2.7%)

Memory

15.0MiB live, 250.2MiB allocated

Algorithm

1×	egg-herbie

Rules

5 718×	`accelerator-lowering-fma.f32`
5 718×	`accelerator-lowering-fma.f64`
2 164×	`-lowering-.f32`
2 164×	`-lowering-.f64`
1 318×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	343
1	216	313
2	566	313
3	1735	313
4	4574	313
5	6343	313
6	7403	313
7	7953	313
0	8011	313

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
x
(+ x (* -1 (* z (+ x y))))
(+ x (* -1 (* z (+ x y))))
(+ x (* -1 (* z (+ x y))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(* -1 (* y z))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
x
(+ x (* -1 (* z (+ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ x (* -1 (* z (+ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ x (* -1 (* z (+ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* z (+ x y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (/ x z)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* z (+ x y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)

eval254.0ms (2.9%)

Memory: -17.4MiB live, 62.3MiB allocated
Compiler: Compiled 8 614 to 757 computations (91.2% saved)

prune256.0ms (3%)

Memory

-10.5MiB live, 67.1MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	346	1	347
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	347	7	354

Accuracy

100.0%

Counts

354 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
✓	53.3%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.8%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	49.6%	(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓	31.3%	y
✓	23.5%	x

Compiler

Compiled 49 to 35 computations (28.6% saved)

simplify12.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) z)
✓	cost-diff	0	(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)

Rules

176×	`accelerator-lowering-fma.f32`
176×	`accelerator-lowering-fma.f64`
112×	`-lowering-.f32`
112×	`-lowering-.f64`
56×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	14	11
2	32	10
3	69	10
4	99	10
5	196	10
6	234	10
7	276	10
8	290	10
0	290	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (- 0 z) x) x)
(- 0 z)
0
z
x

Outputs
(+ (* (- 0 z) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
x

localize95.0ms (1.1%)

Memory

-26.6MiB live, 21.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) z)

Samples

88.0ms

256×

valid

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (45.6% of total)

ival-sub: 1.0ms (22.8% of total)

ival-add: 1.0ms (22.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (+ (* (- 0 z) x) x)>
#<alt (- 0 z)>

Outputs
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (- 0 z) x) x)
1.0ms	x	@	0	(+ (* (- 0 z) x) x)
0.0ms	z	@	0	(+ (* (- 0 z) x) x)
0.0ms	z	@	inf	(+ (* (- 0 z) x) x)
0.0ms	z	@	-inf	(+ (* (- 0 z) x) x)

rewrite647.0ms (7.5%)

Memory

1.4MiB live, 475.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`accelerator-lowering-fma.f32`
4 830×	`accelerator-lowering-fma.f64`
2 654×	`-lowering-.f32`
2 654×	`-lowering-.f64`
2 172×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	39	8
2	318	7
3	3834	6
0	10110	5

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 313

Calls

Call 1

Inputs
(+ (* (- 0 z) x) x)
(- 0 z)

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 z x x))
(+.f64 x (fma.f64 z x #s(literal 0 binary64)))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) x)
(+.f64 (fma.f64 z x #s(literal 0 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (.f64 z (.f64 z (.f64 x x))) (fma.f64 z x x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (fma.f64 z x #s(literal 0 binary64)) x))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (fma.f64 z x #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (fma.f64 z x #s(literal 0 binary64)))
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(fma.f64 (pow.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 z)
(/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (fma.f64 z z #s(literal 0 binary64)) z)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (neg.f64 (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))) (fma.f64 z z #s(literal 0 binary64)))
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 z (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 z (fma.f64 z (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))

simplify299.0ms (3.5%)

Memory

28.3MiB live, 270.0MiB allocated

Algorithm

1×	egg-herbie

Rules

3 752×	`accelerator-lowering-fma.f32`
3 752×	`accelerator-lowering-fma.f64`
2 176×	`-lowering-.f32`
2 176×	`-lowering-.f64`
1 330×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	159
1	67	138
2	136	138
3	278	138
4	702	138
5	1686	138
6	2505	138
7	3263	138
8	3728	138
9	3979	138
10	3991	138
11	3991	138
12	4519	138
13	5149	138
14	5500	138
15	5650	138
16	5774	138
17	6293	138
18	7305	138
19	7503	138
20	7701	138
21	7719	138
0	8263	138

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)

Outputs
x
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval42.0ms (0.5%)

Memory: -13.8MiB live, 103.4MiB allocated
Compiler: Compiled 7 711 to 642 computations (91.7% saved)

prune49.0ms (0.6%)

Memory

-11.1MiB live, 149.4MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	347	2	349
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	349	7	356

Accuracy

100.0%

Counts

356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.6%	(fma.f64 (neg.f64 z) x x)
	23.9%	(fma.f64 z x x)
✓	53.3%	(+.f64 y x)
✓	100.0%	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
✓	52.8%	(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓	31.3%	y
✓	23.5%	x

Compiler

Compiled 105 to 50 computations (52.4% saved)

regimes25.0ms (0.3%)

Memory

32.7MiB live, 70.8MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))

Calls

6 calls:

5.0ms	z
4.0ms	y
4.0ms	(+.f64 x y)
4.0ms	x
4.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes24.0ms (0.3%)

Memory

-13.8MiB live, 67.2MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)

Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Calls

6 calls:

5.0ms	y
4.0ms	(-.f64 #s(literal 1 binary64) z)
4.0ms	x
4.0ms	(+.f64 x y)
4.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes21.0ms (0.2%)

Memory

-20.3MiB live, 58.8MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)

Outputs
(fma.f64 (neg.f64 z) x x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))

Calls

6 calls:

4.0ms	(+.f64 x y)
3.0ms	x
3.0ms	z
3.0ms	y
3.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))

Results

Accuracy	Segments	Branch
81.6%	2	`x`
83.3%	2	`y`
81.0%	4	`z`
77.8%	2	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
98.0%	2	`(+.f64 x y)`
81.0%	4	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))

Calls

1 calls:

3.0ms

(+.f64 x y)

Results

Accuracy	Segments	Branch
98.0%	2	`(+.f64 x y)`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))

Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 y x)

Calls

3 calls:

2.0ms	y
2.0ms	(+.f64 x y)
2.0ms	x

Results

Accuracy	Segments	Branch
70.0%	2	`x`
70.1%	2	`y`
78.0%	2	`(+.f64 x y)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory

-2.1MiB live, 36.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)
(fma.f64 z x x)

Outputs
(+.f64 y x)

Calls

6 calls:

3.0ms	(-.f64 #s(literal 1 binary64) z)
2.0ms	z
2.0ms	(+.f64 x y)
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
53.3%	1	`x`
53.3%	1	`y`
53.3%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
53.3%	1	`(-.f64 #s(literal 1 binary64) z)`
53.3%	1	`z`
53.3%	1	`(+.f64 x y)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes47.0ms (0.5%)

Memory

-26.0MiB live, 20.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

6 calls:

39.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms	z
2.0ms	x
2.0ms	y
1.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
36.7%	4	`z`
52.2%	2	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`
45.1%	2	`y`
51.9%	2	`(+.f64 x y)`
44.9%	2	`x`
31.3%	1	`(-.f64 #s(literal 1 binary64) z)`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

6 calls:

1.0ms	(+.f64 x y)
1.0ms	z
1.0ms	(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
23.5%	1	`(-.f64 #s(literal 1 binary64) z)`
23.5%	1	`z`
23.5%	1	`x`
23.5%	1	`y`
23.5%	1	`(+.f64 x y)`
23.5%	1	`(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.33562414629905e-257	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.33562414629905e-257	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.33562414629905e-257	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.7153371203291042e-209	1.7191748049243977e-262

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	34	78
2	37	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))
(+.f64 y x)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664 binary64)) x y)
x

Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (.f64 x (-.f64 #s(literal 1 binary64) z)) (.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -1352433999707303/67621699985365151533099492469314125634412457732623554832378970755414259527260782012725408753620120050518322559136912470896940487616343748768068989243256265844273495551872650773597634262582584454787101812251032115730947621472199902571314803042180668990660938354910463787008 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -3701491575958035/370149157595803483760113594165444983305188659934209969315302857882035005733103009779662706572686786162969525026591079999487776766804412458287307566414161000062097305302822567355696031005763636785808324621609799564097606385664 binary64)) x y)
x

soundness1.3s (14.7%)

Memory

-17.4MiB live, 706.1MiB allocated

Rules

14 812×	`accelerator-lowering-fma.f32`
14 812×	`accelerator-lowering-fma.f64`
12 146×	`accelerator-lowering-fma.f32`
12 146×	`accelerator-lowering-fma.f64`
5 758×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	304	13
3	4027	13
0	9593	13
0	65	326
1	213	326
2	683	326
3	2185	326
4	5144	326
5	7956	326
0	8679	326
0	6	8
1	39	8
2	318	7
3	3834	6
0	10110	5
0	65	343
1	216	313
2	566	313
3	1735	313
4	4574	313
5	6343	313
6	7403	313
7	7953	313
0	8011	313
0	102	791
1	328	734
2	875	710
3	2750	710
4	7353	710
0	8231	686

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 217 to 112 computations (48.4% saved)

preprocess75.0ms (0.9%)

Memory: 9.6MiB live, 126.3MiB allocated
Remove: (sort x y)
Compiler: Compiled 264 to 98 computations (62.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	19
1	20	19
2	61	18
3	151	18
4	241	18
5	407	18
6	547	18
7	675	18
8	689	18
9	691	18
0	691	18

Iter	Nodes	Cost
0	8	19
1	20	19
2	61	18
3	151	18
4	241	18
5	407	18
6	547	18
7	675	18
8	689	18
9	691	18
0	691	18

analyze0.0ms (0%)

sample1.3s (15.2%)

preprocess266.0ms (3.1%)

explain63.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify70.0ms (0.8%)

localize23.0ms (0.3%)

series4.0ms (0%)

rewrite423.0ms (4.9%)

simplify343.0ms (4%)

eval270.0ms (3.1%)

prune186.0ms (2.2%)

simplify329.0ms (3.8%)

localize50.0ms (0.6%)

series21.0ms (0.2%)

rewrite477.0ms (5.5%)

simplify516.0ms (6%)

eval175.0ms (2%)

prune322.0ms (3.7%)

simplify30.0ms (0.3%)

localize26.0ms (0.3%)

series2.0ms (0%)

rewrite328.0ms (3.8%)

simplify233.0ms (2.7%)

eval254.0ms (2.9%)

prune256.0ms (3%)

simplify12.0ms (0.1%)

localize95.0ms (1.1%)

series2.0ms (0%)

rewrite647.0ms (7.5%)

simplify299.0ms (3.5%)

eval42.0ms (0.5%)

prune49.0ms (0.6%)

regimes25.0ms (0.3%)

regimes24.0ms (0.3%)

regimes21.0ms (0.2%)

regimes3.0ms (0%)

regimes8.0ms (0.1%)

regimes14.0ms (0.2%)

regimes47.0ms (0.5%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.3s (14.7%)

preprocess75.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	19
1	20	19
2	61	18
3	151	18
4	241	18
5	407	18
6	547	18
7	675	18
8	689	18
9	691	18
0	691	18